Organizers:
Alfio Ragusa  - Università di Catania
Francesco Russo  - Università di Catania
Giuseppe Zappalà - Università di Catania

Lecturers:
Gian Pietro Pirola - Università di Pavia
Joan Carles Naranjo - Universitat de Barcelona

Collaborators:
Lidia Stoppino - Università dell'Insubria
Víctor González-Alonso -  Leibniz Universität Hannover

Topic: Abelian varieties and geometric Galois theory

The principal themes of the course will be the geometry of the abelian varieties and of the Galois theory of rational maps.
In particular we focus in the applications to the theory of curves.

Course 1: Geometric Galois theory (Gian Pietro Pirola)

The course will treat the connection between monodromy and Galois theory of rational maps between algebraic varieties.
In the first part  we prove the uniform position lemma of Castelnuovo. We give some applications and generalizations.
Then we will give an introduction to some problems, initiated by Zariski, on the monodromy of curves,
on the theory of Hurwitz? schemes and on some existence problems of rational functions between curves and surfaces.


Course 2: Abelian varieties and applications (Joan Carles Naranjo)

We will give a brief introduction of the classical and modern theory of complex abelian varieties with special
attention to those linked to the geometry of algebraic curves, mainly Jacobian and Prym varieties.
This will include a short review of generic vanishing theorems, the Fourier-Mukai transform
and its applications to Torelli theorems and theta duality. Also we will explain applications to the study of irregular varieties.


People who wish to be considered either for participation and/or for  financial support should fill out the enclosed application form, which  should be sent to the following address:

E-mail: pragmatic@dmi.unict.it

The deadline for  applications is March 15th, 2016. The Committee of  Pragmatic will decide about financial supports and admissions within March 31th, 2016.
Interested people who need more information about Pragmatic can contact any member of the local committee.

The Organization of Pragmatic 2016 will cover the boarding and lodging expenses of the participants which are not supported by their  institutions, but not the travel expenses.

      ___________________________________________________________________

APPLICATION FORM TO PRAGMATIC 2016

Surname:

Name:

Male or Female:

Date of birth:

Nationality:

Institution:

Academic qualification (Ph.D., Master,...):

Name of advisor:

Professional Status and Current Position:

E-mail address:

Field of interest:

Can you be supported by your institution?: (Possible answers: totally,  partly, no)

If you have a Ph.D, when did you get it and where?

Reasons for wanting to participate in the session:

It is suggested that the applications include both a recommendation  letter and a brief Curriculum vitae